Rexhep is an Albanian masculine given name. People bearing the name include:
Rexhep Demi (1864-1929), member of the Albanian independence movement, politician
Rexhep Hasimi (born ????), Albanian composer
Rexhep Jella (????-????), Albanian politician, former mayor of Tirana
Rexhep Jusufi (????-1943), Albanian-Yugoslav World War II partisan
Rexhep Maçi (????-????), Albanian football player
Rexhep Meidani (born 1944), Albanian politician, third President of Albania
Rexhep Mitrovica (1887–1967), Albanian politician, 18th Prime Minister of Albania
Rexhep Qosja (born 1936), Albanian politician and literary critic
Rexhep Voka (1847-1917), Albanian writer, activist and scholar